Select the correct product of the exponential expression.
3^5
OA. 3.5
OB. 3.3.3.3.3
OC. 5.5.5
OD. 15

Answer:

A. it is not a function because there are multiple y-values paired with a single x-value.

Step-by-step explanation:

The highest point on the graph of the normal density curve is located at its mean represented by μ.

The highest point on the graph of the normal density curve is located at its mean. The normal density curve or the normal distribution is a bell-shaped curve that is symmetric about its mean. The mean of a normal distribution is the measure of the central location of its data and it is represented by μ. It is also the balancing point of the distribution. In a normal distribution, the standard deviation (σ) is the measure of how spread out the data is from its mean.

It is the square root of the variance and it determines the shape of the normal distribution. The normal distribution is an important probability distribution used in statistics because of its properties. It is commonly used to represent real-life variables such as height, weight, IQ scores, and test scores.

To know more about density visit:-

https://brainly.com/question/6204741

#SPJ11

The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

Learn more about: Parabola

brainly.com/question/11911877

#SPJ11

Answer:

0.122

Step-by-step explanation:

Answer:

9.882 ÷ 81 = ?

⇒ 0.122

Answer:

5

Step-by-step explanation:

6n -12 -8=22+8-4n

6n-20=30-4n

6n=50 -4n

10n = 50

5

The set of points (2et, t), where t is a real number, is the graph of y = t.

The set of points (2et, t) represents a parametric equation in the form of (x, y), where x = 2et and y = t. In this case, the value of x is determined by the exponential function 2et, while y takes on the value of t directly.

When we eliminate the parameter t, we obtain the equation y = t, which represents a linear relationship between the variables x and y. This means that for every value of t, the corresponding point on the graph will have the same y-coordinate as the value of t itself. Hence, the equation of the graph is y = t.

To know more about real number refer here:

https://brainly.com/question/17019115

#SPJ11

The continuous compounding equation shown the value of the account after t years is given as follows:

\(A(t) = 8000e^{0.079t}\)

The percentage of growth per year (APY) is of 8.22%.

The balance of an account after t years of continuous compounding is given by the equation presented as follows:

\(A(t) = A(0)e^{kt}\)

In which the variables of the equation are described as follows:

In the context of this problem, the values of these parameters are given as follows:

A(0) = 8000, k = 0.079.

Hence the equation is:

\(A(t) = 8000e^{0.079t}\)

The percentage of growth per year (APY) is calculated as follows:

\(e^{k} - 1 = e^{0.079} - 1 = 1.0822 - 1 = 0.0822 = 8.22\%\)

More can be learned about continuous compounding at https://brainly.com/question/7513822

#SPJ1

Answer:

There are 6 types of quadrilaterals

Step-by-step explanation:

6 types are: Parallelogram, Trapezium, Rhombus, Rectangle, Square, Kite

Answer: I don't know

Step-by-step explanation:The annual interest rate is 5%, and the interest accrues at a compounding rate for five years. To calculate the monthly interest, simply divide the annual interest rate by 12 months. The resulting monthly interest rate is 0.417%

We have:tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(7/2)

To prove the equation tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) without using a calculator, we can utilize the trigonometric properties and identities to simplify the expression.

Let's start by using the addition formula for the tangent function:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) * tan(B))

We can rewrite the given expression as:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2)

Using the addition formula, we can combine the first two terms:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((1/11 + 5/6) / (1 - (1/11)*(5/6)))

Simplifying further:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((11/66 + 55/66) / (1 - 5/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(66/66 / (61/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(1)

Using the same approach, we can combine the remaining terms:

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((1/3 + 1/2) / (1 - (1/3)*(1/2)))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((5/6) / (3/2))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(5/9)

Now, we have:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(1) + tan^(-1)(5/9)

Using the addition formula again:

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((1 + 5/9) / (1 - (1)*(5/9)))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((14/9) / (4/9))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(14/4)

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(7/2)

For more such question on tan visit:

https://brainly.com/question/28587485

#SPJ8

Answer:

Kayla and Maddy will be in the same level in 4 days.

Step-by-step explanation:

Kayla: y = 6x + 12

Maddy: y = 2x  + 28

6x + 12 = 2x + 28

Subtract 2x from both sides;

4x + 12 = 28

Subtract 12 from both sides;

4x = 16

Divide both sides by 4;

x = 4

Answer:

Step-by-step explanation:

y = 6x + 12

y = 2x + 28

or

l = 6d + 12

l = 2d + 28

Answer:

top right

Step-by-step explanation:

because

Answer:

222222222222222222

Step-by-step explanation:

Answer: 3.9b−2.6

Step-by-step explanation: Hope this helps

Answer:

1.3b

Step-by-step explanation:

The equation is -2.6+3.9b. A negative number acts like subtraction, so we would subtract 2.6 from 3.9 to get 1.3. The b is still there, and we don't know what it is, so we simplify the equation to 1.3b.

Sorry, this explanation isn't the best. Hope it helped! :)

The expression equivalent to information stated is 2401/ 59049

From the information given, we have:

\((7^-^2 * 3^5)^-^2\)

First, we expand the quantities in the bracket

7^-2 = 1/ 7² = 1/ 49

3^5 = 3 × 3 × 3 × 3× 3 = 243

Now, let's substitute the values

\(( \frac{1}{49} ) * 243)^-^2\)

Let's take the inverse square of the values

\(49^2 * (\frac{1}{243}) ^2\)

Take the square

\(2401 * \frac{1}{59049}\)

= 2401/ 59049

Thus, the expression equivalent to information stated is 2401/ 59049

Learn more about index form here:

https://brainly.com/question/10339517

#SPJ1

Answer:

the answer. is 60 because you round of 64

The given sequence is defined by an=cos(n/2). Now, we are supposed to determine if the sequence converges or diverges and if it converges, we are supposed to find the limit.

The given sequence is defined by an=cos(n/2). Now, we are supposed to determine if the sequence converges or diverges and if it converges, we are supposed to find the limit. Using the limit comparison test, the limit as n approaches infinity of cos(n/2) over 1/n is 0. As a result, the given sequence and the harmonic series have the same behavior. Thus, the series diverges. When a sequence is divergent, it does not have any limit, and the limit does not exist, which means the limit in this case is DNE.

Since it has been proven that the given sequence diverges, its limit does not exist (DNE). Therefore, the answer to the question "determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.) an = cos(n/2)" is "The sequence diverges, and the limit is DNE."

To know more about harmonic series visit: https://brainly.com/question/32338941

#SPJ11

Therefore, the appropriate percent in the pie chart to represent the preference for Klean laundry detergent is 15%.

Percent is a way of expressing a fraction or a ratio as a portion of 100. The word "percent" means "per hundred." It is denoted by the symbol "%". Percentages are commonly used to express rates, proportions, or parts of a whole in various fields, such as mathematics, science, finance, and statistics. For example, an interest rate of 5% per annum means that for every 100 units of money, the lender will receive 5 units of interest each year.

Here,

To find the appropriate percent in the pie chart to represent the preference for Klean laundry detergent, we need to calculate the fraction of people who prefer Klean detergent, and then convert it to a percentage.

The fraction of people who prefer Klean detergent is:

75/500 = 0.15

To convert this fraction to a percentage, we can multiply by 100:

0.15 x 100 = 15%

To know more about percent,

https://brainly.com/question/29172752

#SPJ1

Answer:

yes

Step-by-step explanation:

if (x + a) is a factor of f(x), then f(- a) = 0, Factor theorem

given

f(x) = x³ + 8x² + 11x - 20

then if (x + 4) is a factor f(- 4) = 0

f(- 4) = (- 4)³ + 8(- 4)² + 11(- 4) - 20

       = - 64 + 8(16) - 44 - 20

       = - 64 + 128 - 64

      = 0

since f(- 4) = 0 , then (x + 4) is a factor of the polynomial

The length in centimeters of the side of the square is 8 cm.

The area of a rectangle and a square are -

A{R} = Length x Breadth

A{S} = Side x Side

Given is that a square and a rectangle have the same area. The length of the rectangle is 32 cm and the width of the rectangle is 2 cm.

It is given that -

A{R} = A{S}

Length x Breadth = Side x Side

32 x 2 = (Side)²

(Side)² = 64

Side = 8

Therefore, the length in centimeters of the side of the square is 8 cm.

To learn more about area of a rectangle refer to:

https://brainly.com/question/2607596

#SPJ1

Answer:1+3

Step-by-step explanation:

The shape consist of a rectangle and a semi circle

The area of a rectangle is the product of its length and width while that of a semicircle pir^2

The radius of the semicircle is = 12/2

= 6 ft

The length and width of the rectangle are 16 ft and 12 ft respectively.

Hence the area of the shape

= 12 * 16 + 3.14 *6^2

= 192 + 113.04

= 305.04 sq ft

Answer:

12 in.

Step-by-step explanation:

1. area can be calculated as A=s1*s2, where s1 and s2 are the largest and shortest sides.

2. according to the formula before A=(20-x)(x-5). But according to the condition A=36, then (20-x)(x-5)=36;

3. if to solve this quadratic equation, then

-x²+25x-136=0;

\(\left[\begin{array}{ccc}x=17\\x=8\end{array}\)

4. if x=3;12, then the sides are 12 and 3 and

5. finally, the largest side s1=12 inches.

It is given in the following paragraphs about which of the statements are true and which are false:

The given statements are: Statement a) Every whole number is an integer. Statement b) There exists a natural number that is not a rational number. Statement c) p → q ≡ q → p. Statement d) One of De Morgan's Laws states ∼(p ∨ q) ≡ ∼p ∨ ∼q. Statement e) p ∧ F ≡ F (F represents any false statement)

Solution: Statement a) Every whole number is an integer. True Statement b) There exists a natural number that is not a rational number. True Statement c) p → q ≡ q → p True, because the two statements "if p then q" and "if q then p" are equivalent and can be interchangeable. Statement d) One of De Morgan's Laws states ∼(p ∨ q) ≡ ∼p ∨ ∼q. True Statement e) p ∧ F ≡ F (F represents any false statement) False, as "p ∧ F" will always be false.

To know more about statements visit:

brainly.com/question/32261272

#SPJ11

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

Read more about domain and range at

brainly.com/question/27910766

#SPJ1

Answer:

1/81

Step-by-step explanation:

You just tap the calculator

Answer:

a) To determine the common difference of the sequence, subtract the 17th term (-10) from the 8th term (17) to get a common difference of 27.

b) To find the first term, subtract the common difference (27) from the 8th term (17) a total of 7 times to get the first term of -144.

17th term (-10)

- (common difference of 27)

- -144

c) To find the 77th term, take the first term (-144) and add the common difference (27) a total of 76 times to get the 77th term of 1062.

-144

+ (common difference of 27)

+ 1062

2. To find the number of multiples of 7 between 250 and 340, begin by finding the greatest multiple of 7 which is less than 250. This would be the multiple of 7 with the value of 245. Next, Find the least multiple of 7 between 250 and 340. This would be the multiple of 7 with the value of 336. Finally, to get the number of multiples of 7 between 250 and 340, subtract 245 from 336 and then add 1 to get the answer.

336 - 245 + 1 = 92

Step-by-step explanation:

The percentage that is equivalent to the portion of lots in the neighborhood with three or more trees is 30%.

A percentage is a number or a ratio represented by fractions of 100. It is denoted by the percentage sign '%'. The percentage is represented by the abbreviations 'pct' or 'pc'. In other words, the percentage is defined as how much of one quantity is produced by another, and it is expressed in terms of 100.

To find the percentage that is equivalent to the portion of lots in the neighborhood with three or more trees, we can use the following formula:

Percentage = (Part/Whole) x 100

where Part is the portion we want to find as a fraction, and Whole is the total number of lots in the neighborhood.

In this case, we are given that 12/40 of the lots have three or more trees. This means that the Part is 12/40, and the Whole is all the lots in the neighborhood.

To find the percentage, we substitute these values into the formula:

Percentage = (12/40) x 100

To simplify this fraction, we can divide both the numerator and the denominator by the greatest common factor, which is 4:

Percentage = (3/10) x 100

Multiplying 3/10 by 100, we get:

Percentage = 30%

Therefore, the percentage that is equivalent to the portion of lots in the neighborhood with three or more trees is 30%.

Learn more about percentage on:

https://brainly.com/question/24877689

#SPJ1

Answer:

63 degree

Step-by-step explanation:

The total corner of the TV is 90 degrees, so 90-27=63 degrees